Use the Following to Answer Questions

question 10

Multiple Choice

Use the following to answer questions :
The table shown below gives information on a variable for four samples selected from four normally distributed populations with equal variances.
By using ANOVA,we wish to test the null hypothesis that the means of the four corresponding populations are equal.The significance level is 5%.
-The critical value of F is:

• A)5.48
• B)3.16
• C)7.15
• D)1.84

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Definitions:

Range

The difference between the highest and lowest values in a data set, indicating the span of data points.

Standard Deviation

A measure of the dispersion or variability within a set of numerical data, indicating how spread out the values are from the mean.

Variance

A statistical measure of the dispersion representing how much the data points in a data set diverge from the mean value.

Mean

The arithmetic average of a set of numbers, calculated by adding them all together and dividing by the number of numbers.